Global weak solutions for a Vlasov-Fokker-Planck/Navier-Stokes system with nonhomogeneous boundary data

被引：4

作者：

Li, Yue ^{[1
]}

机构：

[1] Nanjing Univ, Dept Math, Nanjing 210093, Peoples R China

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2021年 / 72卷 / 02期

关键词：

Vlasov-Fokker-Planck equation; Compressible Navier-Stokes equations; Nonhomogeneous boundary conditions; Weak solutions;

D O I：

10.1007/s00033-021-01488-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider a kinetic-fluid model with nonhomogeneous Dirichlet boundary data in a 3D bounded domain. This model consists of a Vlasov-Fokker-Planck equation coupled with the compressible Navier-Stokes equations via a friction force. We establish the global existence of weak solutions to it for the isentropic fluid (adiabatic coefficient gamma>32) with large initial data, and large velocity and density at the inflow boundary.

引用

页数：29

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